数学学报杂志 北大期刊 CSCD期刊 统计源期刊

Transpo rt at ion Cos t Inequalities for St ochastic Reaction-Diffusion Equations with Levy Noises and Non-Lipschitz Reaction Terms

作者：Yu; Tao; MA 刊期：2020年第02期

For stochastic reaction-diffusion equations with Levy noises and non-Lipschitz reaction terms,we prove that W\H transportation cost inequalities hold for their invariant probability measures and for their process-level laws on the path space with respect to the L1-metrie.The proofs are based on the Galerkin approxima...

On Global and Local Properties of the Trajectories of Gaussian Random Fields——A Look Through the Set of Limit Points

作者：Wen; Sheng; WANG; Zhong; Gen; SU; Yi; Min; XIAO 刊期：2020年第02期

This paper studies the global and local properties of the trajectories of Gaussian random fields with stationary increments and proves sufficient conditions for Strassen's functional laws of the iterated logarithm at zero and infinity respectively.The sets of limit points of those Gaussian random fields are obtained....

KAM Tori for the Derivative Quintic Nonlinear Schrodinger Equation

作者：Dong; Feng; YAN; Guang; Hua; SHI 刊期：2020年第02期

This paper is concerned with one-dimensional derivative quintic nonlinear Schrodinger equation,iut—uxx+i(|u|4u)x=0,x eT.The existence of a large amount of quasi-periodic solutions with two frequencies for this equation is established.The proof is based on partial Birkhoff normal form technique and an unbounded KAM t...

On the Character Sum of Polynomials and the Two-term Exponential Sums

作者：Xing; Xing; LV; Wen; Peng; ZHANG 刊期：2020年第02期

The main purpose of this paper is using the analytic method and the properties of the character sums to study the computational problem of one kind hybrid power mean involving the character sums of polynomials and the two-term exponential sums,and give several interesting identities and asymptotic formulae for them.

Editorial Board

刊期：2020年第02期

Instructions for Authors

刊期：2020年第02期

Submission Authors must use LaleX for typewriting,and visit our website www.actamath.com to submit your paper.Our address is Editorial Office of Acta Mathematica Sinica,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,R R.China.